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Exhibit 10.37
 Noble
Corporation
 13135 South Dairy Ashford, Suite 800, Sugar Land, Texas 77478 ·281-276-6100
  VIA HAND DELIVERY
   Voluntary Resignation of Employment
 Salary and Benefits
 (a)
    
    Payment of your regular base salary through the Separation Date, less all legal
deductions;(b)
    
    Payment of all unused vacation benefits that you accrued, if any, less all
legal deductions; and(c)
    
    Present or future payment or other entitlement, in accordance with the terms of
the applicable plan or other benefit, of any benefits to which you have vested
entitlement under the terms of employee benefit plans established by Noble.




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Special Separation Benefit
 
    
    Salary continuation at your current regular base salary for six months following the
Separation Date, to be paid to you in 12 semi-monthly installments on Nobles regular
paydays, beginning with the first regular payday following the Effective Date (as
defined in Paragraph 18, below). Additionally, the benefits noted on page one will be
paid for by Noble through the same period (ending September 30, 2006).
   Return of Property
 Use of Confidential Information




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Unauthorized Access to Computer/Internet Systems
 General Release. In consideration of the Special Separation Benefit described in
Paragraph 3, above, you and your heirs, successors, and assigns (collectively the Busmire
Parties) release, acquit, and forever discharge (i) Noble Corporation, (ii) any parent,
subsidiary, or affiliated entity of Noble Corporation, and (iii) any officer, director, trustee,
fiduciary, agent, employee, representative, insurer, attorney, or any successors and assigns of the
persons or entities just named (collectively the Noble Parties) from, and waive to the maximum
extent permitted by applicable law, any and all claims, liabilities, demands, and causes of action
of whatever character, whether known or unknown, fixed or contingent, or vicarious, derivative, or
direct, that you may have or claim against Noble or any of the other Noble Parties. This General
Release includes, but is not limited to, any and all claims arising under federal, state, or local
laws prohibiting employment discrimination, including the Age Discrimination in Employment Act of
1967, or other claims growing out of, resulting from, or connected in any way with your employment
with Noble or the ending of your employment with Noble. This Agreement does not waive any rights
or claims against Noble or any of the other Noble Parties that may arise after the date you execute
it. After you have signed this Agreement, you still will have an additional seven days, as
provided by law, to reconsider and revoke your acceptance, if you wish.
 Confidentiality, Nonprosecution, and Other Commitments
 Confidentiality




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Nonprosecution
 Nondisparagement
 Waiver of Recovery
 Waiver of Right to Jury Trial
 Agreement Regarding Solicitation of Employees




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Cooperation
  Employment References
 Agreement Not to Seek Reemployment
 Nonadmission of Liability or Wrongdoing




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Authority to Execute
 Governing Law and Interpretation
 Breach of Agreement
 Expiration of Offer. Nobles offer of this Agreement will expire at 5:00 p.m. on the
21st day following the date of this letter, i.e., on April 7, 2006 (the Expiration Date). You
may accept the offer at any time before the Expiration Date by signing this Agreement in the space
provided below, and returning it to Ms. Julie J. Robertson, Executive Vice President.
 After you have signed this Agreement you still will have an additional seven days, as
provided by law, to reconsider and revoke your acceptance, if you wish (the Revocation Period).
If you choose to revoke your acceptance of this Agreement, you must do so by providing written
notice to Noble before the expiration of the Revocation Period, in which case this Agreement will
not become effective or enforceable, and you will not receive the Special Separation Benefit
described in Paragraph 3, above.




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Effective Date
 Consultation With an Attorney
 Knowing and Voluntary Agreement
 Entire Agreement




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Sincerely,/s/ JULIE J. ROBERTSONJulie J. Robertson
Executive Vice President
     and Corporate Secretary  /s/ BRUCE W. BUSMIRE
 3/17/06